Pith Number

pith:M7NKYIJO

pith:2017:M7NKYIJOS5CWLG6FGH7VXQLSD3

not attested not anchored not stored refs pending

A revisit on the compactness of commutators

Dongyong Yang, Huoxiong Wu, Weichao Guo

arxiv:1712.08292 v1 · 2017-12-22 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7NKYIJOS5CWLG6FGH7VXQLSD3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

An explicit formula of Cauchy--Szeg\"{o} kernel for quaternionic Siegel upper half space and applications

Receipt and verification

First computed	2026-07-05T06:22:49.750730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67daac212e9745659bc531ff5bc1721ed982672033dc8dd4bffbf8a570327281

Aliases

arxiv: 1712.08292 · arxiv_version: 1712.08292v1 · doi: 10.48550/arxiv.1712.08292 · pith_short_12: M7NKYIJOS5CW · pith_short_16: M7NKYIJOS5CWLG6F · pith_short_8: M7NKYIJO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M7NKYIJOS5CWLG6FGH7VXQLSD3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 67daac212e9745659bc531ff5bc1721ed982672033dc8dd4bffbf8a570327281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b975faff8461934fc996cdb7024cd9b4017c52a551567ada9f56dd91e9502a54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-22T03:26:31Z",
    "title_canon_sha256": "619971eab3d5c3be215a9f9a84f4e9f81dee66172165977c66a9fc9bf0f2f0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08292",
    "kind": "arxiv",
    "version": 1
  }
}